dorsal/arxiv
View SchemaSemiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model
| Authors | K. Arita, A. Sugita, K. Matsuyanagi |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9809005 |
| URL | https://arxiv.org/abs/nucl-th/9809005 |
| DOI | 10.1143/PTP.100.1223 |
| Journal | Prog.Theor.Phys. 100 (1998) 1223-1238 |
Abstract
Classical periodic orbits responsible for emergence of the superdeformed shell structures for single-particle motions in spheroidal cavities are identified and their relative contributions to the shell structures are evaluated. Both prolate and oblate superdeformations (axis ratio about 2:1) as well as prolate hyperdeformation (axis ratio about 3:1) are investigated. Fourier transforms of quantum spectra clearly show that three-dimensional periodic orbits born out of bifurcations of planar orbits in the equatorial plane become predominant at large prolate deformations, while butterfly-shaped planar orbits bifurcated from linear orbits along the minor axis are important at large oblate deformations.
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"abstract": "Classical periodic orbits responsible for emergence of the superdeformed\nshell structures for single-particle motions in spheroidal cavities are\nidentified and their relative contributions to the shell structures are\nevaluated. Both prolate and oblate superdeformations (axis ratio about 2:1) as\nwell as prolate hyperdeformation (axis ratio about 3:1) are investigated.\nFourier transforms of quantum spectra clearly show that three-dimensional\nperiodic orbits born out of bifurcations of planar orbits in the equatorial\nplane become predominant at large prolate deformations, while butterfly-shaped\nplanar orbits bifurcated from linear orbits along the minor axis are important\nat large oblate deformations.",
"arxiv_id": "nucl-th/9809005",
"authors": [
"K. Arita",
"A. Sugita",
"K. Matsuyanagi"
],
"categories": [
"nucl-th"
],
"doi": "10.1143/PTP.100.1223",
"journal_ref": "Prog.Theor.Phys. 100 (1998) 1223-1238",
"title": "Semiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model",
"url": "https://arxiv.org/abs/nucl-th/9809005"
},
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